Many test questions will be selected from the following list. The key to doing well in the class is to do as many of these exercises as possible. (The list will be updated as we go along.) Once you have done all these problems, then you should work

Chapter 3, Groups: 6, 12, 14, 17, 24, 25, 26, 27, 28, 29, 30, 31, 32, 35, 36, 37, 38, 39, 40, 43, 44, 45, 46, 47, 48, 50, 51, 52, 53 |

Chapter 4, Cyclic Groups: 2, 5, 8, 10, 11, 12, 23, 24, 25, 26, 27, 28, 31, 33, 37, 38 |

Chapter 5, Permutation Groups: 7, 17, 18, 22, 27 |

Chapter 6, Cosets and Lagrange's Theorem: 3, 4, 9, 12, 14, 16, 17, 18, 21 |

Chapter 9, Isomorphisms: 2, 7, 8, 9, 16, 18, 22, 26, 27, 48, 50, 52 |

Chapter 10, Homomorphisms: 5, 6, 8, 10, 12, 14, 15, 16, 18, 23, 24, 27, 32 |

Chapter 12, Structure of Groups: 1, 2, 3, 5, 6, 8 |

Chapter 15, Rings: 2, 3, 7, 8, 11, 16, 17, 18, 19bc, 20, 25, 27, 28, 29, 36, 39 |

Chapter 16, Polynomials: 1, 2, 3, 6, 7, 9, 10, 12, 13, 15, 17, 23, 27 |

Proposition 3.1 | Proposition 3.2 | Proposition 3.3 | Proposition 3.4 | Proposition 3.5 | Proposition 3.6 | Proposition 3.7 |

Theorem 3.8 | Proposition 3.9 | Proposition 3.10 | ||||

Theorem 4.1 | Theorem 4.2 | Theorem 4.3 | Corollary 4.4 | Theorem 4.6 | Corollary 4.7 | Proposition 4.10 |

Theorem 5.1 | Theorem 5.3 | Theorem 5.4 | Theorem 5.6 | Theorem 5.7 | Proposition 5.8 | |

Lemma 6.1 | Theorem 6.3 | Theorem 6.5 | Corollary 6.6 | Corollary 6.7 | Corollary 6.8 | |

Theorem 9.1 | Theorem 9.2 | Theorem 9.3 | Theorem 9.4 | Theorem 9.5 | Theorem 9.6 | |

Theorem 10.1 | Theorem 10.2 | Proposition 10.3 | Theorem 10.4 | Theorem 10.9 | ||

Theorem 12.3 | Theorem 12.5 | |||||

Proposition 15.1 | Proposition 15.2 | Proposition 15.3 | Theorem 15.4 | Proposition 15.6 | Proposition 15.7 | Proposition 15.8 |

Theorem 15.9 | Theorem 15.10 | Theorem 15.11 | Theorem 15.15 | Theorem 15.16 | ||

Theorem 16.1 | Proposition 16.2 | Theorem 16.4 | Corollary 16.5 | Corollary 16.6 | Theorem 16.12 | Theorem 16.13 |